Null controllability of degenerate parabolic equations in non divergence form via Carleman estimates

Genni Fragnelli

doi:10.3934/dcdss.2013.6.687

Article Contents

2013, Volume 6, Issue 3: 687-701. Doi: 10.3934/dcdss.2013.6.687

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Null controllability of degenerate parabolic equations in non divergence form via Carleman estimates

Genni Fragnelli^1,

1.
Dipartimento di Matematica, Università di Bari, Via E. Orabona 4, 70125 Bari

Received: March 31, 2010

Revised: March 31, 2011

Published: May 2013

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Abstract

We prove null controllability results for the one dimensional degenerate heat equation in non divergence form with a drift term and Neumann boundary conditions. To this aim we prove Carleman estimates for the associated adjoint problem. Some linear extensions are considered.

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Mathematics Subject Classification: 93B05, 93B07, 35K65, 35K20, 35Q93.

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References

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